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Simplifying -6(1 + 8k) = 8k + -6 (1 * -6 + 8k * -6) = 8k + -6 (-6 + -48k) = 8k + -6 Reorder the terms: -6 + -48k = -6 + 8k Add '6' to each side of the equation. -6 + 6 + -48k = -6 + 6 + 8k Combine like terms: -6 + 6 = 0 0 + -48k = -6 + 6 + 8k -48k = -6 + 6 + 8k Combine like terms: -6 + 6 = 0 -48k = 0 + 8k -48k = 8k Solving -48k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -48k + -8k = 8k + -8k Combine like terms: -48k + -8k = -56k -56k = 8k + -8k Combine like terms: 8k + -8k = 0 -56k = 0 Divide each side by '-56'. k = 0 Simplifying k = 0
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